具有时滞反馈控制的分数阶病毒模型的动力学分析  

Dynamic Analysis of Fractional Virus Model with Delayed Feedback Control

作　　者：王茂 张丰硕 张路路 WANG Mao;ZHANG Fengshuo;ZHANG Lulu(School of Mathematics and Physics,Yuxi Normal University,Yuxi 653100,China;School of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou,Chongqing 404100,China)

机构地区：[1]玉溪师范学院数理学院,云南玉溪653100 [2]重庆三峡学院数学与统计学院,重庆万州404100

出　　处：《玉溪师范学院学报》2024年第6期12-19,共8页Journal of Yuxi Normal University

基　　金：云南省大学生创新创业训练计划(202211390005).

摘　　要：通过研究稳定平衡点处对应特征方程根的分布,推导出模型发生Hopf分岔的条件,说明阶数和时滞对Hopf分岔的影响,以及反馈控制对系统稳定性的影响作用.最后通过数值模拟验证理论结果的正确性.This paper investigates the bifurcation problem of a class of fractional order virus models with time delay.By studying the distribution of characteristic equation roots at the stable equilibrium point,the conditions for Hopf bifurcation in the model are derived.The study demonstrates the influence of order and time delay on Hopf bifurcation,as well as the impact of feedback control on system stability.Finally,the correctness of the theoretical results is verified through a numerical simulation.

关 键 词：时滞 反馈控制 HOPF分岔 分数阶 病毒模型. 

分 类 号：O175.2[理学—数学]